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Diff — General linear group

Revision #803 → #1255 · back to history

addedGeneral linear group (degree n)b043049d5545
addedGeneral linear group over a field/ring68014f3a234e
addedGeneral linear group of a vector space2b003e189032
addedSpecial linear group4f3d96580e96
addedGL(n,F) is non-abelian76e09c1aa642
addedGL(V) as automorphism groupbb1aa0ae12d8
addedGL(V) ≅ GL(n,F) via basis choice98c88eaa7c2c
addedGL of a free modulecccfb4d59ead
addedInvertibility over a field via determinant3df355666d76
addedInvertibility over a commutative ring6eacdee2f7b9
addedGL over non-commutative ringc6066c52e85a
addedGL(n,R) is a real Lie group of dimension n²5c0b5505d80c
addedLie algebra of GL(n,R)5d314789903e
addedGL(n,R) has two connected componentsaf29edbaf89d
addedPolar decomposition homeomorphismab327db69c25
addedMaximal compact subgroup of GL(n,R)762609259389
addedFundamental group of GL(n,R)44d11bf0656a
addedGL(n,C) is a complex Lie group of dimension n²2d4ed7eb79af
addedComplex matrices as real matrices preserving a complex structured79afa45da02
addedLie algebra of GL(n,C)5ea4ac102f32
addedGL(n,C) is connected with maximal compact U(n)593edd397ec1
addedOrder of GL(n,q)2d2cb6ec7295
addedGL(3,2) has order 168eee3ebd398f3
addedCounting points of Grassmannian over F_q62b4ade4e9f6
addedSymmetric group as GL over field with one element22b047a4aec4
addedSpecial linear group SL(n,F)99f176a329f7
addedDeterminant homomorphism with kernel SL0a55f870ad95
addedGL as semidirect product of SL and F*7d27c6c762da
addedSL is the derived group of GLcb60df5166c4
addedSL is a Lie subgroup of dimension n²-17f388161e5fb
addedSL as volume- and orientation-preserving transformations91d60afecac9
addedSimple connectedness of SL(n,C)37e3324d1c3a
addedInvertible diagonal matrices subgroupca6ab32f4bd5
addedScalar matrix94ad363e195a
addedCenter of SL(n,F)8c6c746bf967
addedClassical groups96d012fe231b
addedOrthogonal group33c2fea2d6f7
addedSymplectic group96c170b54424
addedUnitary groupd47f1a19224d
addedProjective linear groupa73d552c728e
addedAffine group322502537854
addedSpecial affine group and Poincaré group5cb95634389d
addedGeneral semilinear groupbb57da17078d
addedSemilinear transformation93d22d8653ea
addedProjective semilinear group as collineation group6a5c79ba664e
addedFull linear monoidbe9527d2f749
addedInfinite general linear group4e433229a42a